159813360 has 240 divisors, whose sum is σ = 630691776. Its totient is φ = 35500032.

The previous prime is 159813349. The next prime is 159813373. The reversal of 159813360 is 63318951.

It is a happy number.

159813360 is a `hidden beast` number, since 1 + 598 + 1 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186052 + ... + 186908.

Almost surely, 2^159813360 is an apocalyptic number.

159813360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159813360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315345888).

159813360 is an abundant number, since it is smaller than the sum of its proper divisors (470878416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159813360 is a wasteful number, since it uses less digits than its factorization.

159813360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 159813360 is about 12641.7308941458. The cubic root of 159813360 is about 542.6723499765.

The spelling of 159813360 in words is "one hundred fifty-nine million, eight hundred thirteen thousand, three hundred sixty".